505755120 has 160 divisors (see below), whose sum is σ = 1700016192. Its totient is φ = 123641856.

The previous prime is 505755113. The next prime is 505755127. The reversal of 505755120 is 21557505.

It is a Cunningham number, because it is equal to 22489²-1.

It is an interprime number because it is at equal distance from previous prime (505755113) and next prime (505755127).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505755127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539292 + ... + 540228.

Almost surely, 2^505755120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850008096).

505755120 is an abundant number, since it is smaller than the sum of its proper divisors (1194261072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505755120 is a wasteful number, since it uses less digits than its factorization.

505755120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 30.

The square root of 505755120 is about 22488.9999777669. Note that the first 4 decimals coincide. The cubic root of 505755120 is about 796.7341442080.

The spelling of 505755120 in words is "five hundred five million, seven hundred fifty-five thousand, one hundred twenty".